The Apache Sling Mini project provides a Sling Feature with a set of core bundles needed to start a Sling instance capable of rendering dynamic websites. The instance intentionally doesn't provide a ResourceProvider implementation, nor a ScriptEngine one, allowing an integrator to make these decisions.
The project also builds a Docker image (org.apache.sling.mini), which can be used as a base for a fully-fledged web application. Such an example is available in the org-apache-sling-mini-demo folder.